159 citations · 747 across the 28 of their papers we have counts for
4 papers · 2 filters
Kac's chaos and Kac's program
Stéphane Mischler
In this note I present the main results about the quantitative and qualitative propagation of chaos for the Boltzmann-Kac system obtained in collaboration with C. Mouhot in \cite{M…
Spectral analysis of semigroups and growth-fragmentation equations
Stéphane Mischler, Justine Scher
The aim of this paper is twofold: (1) On the one hand, the paper revisits the spectral analysis of semigroups in a general Banach space setting. It presents some new and more gener…
Uniqueness and long time asymptotic for the Keller-Segel equation: The parabolic-elliptic case
Fernandez Giani Egana, Stéphane Mischler
The present paper deals with the parabolic-elliptic Keller-Segel equation in the plane in the general framework of weak (or ''free energy") solutions associated to initial datum wi…
Rate of convergence of the Nanbu particle system for hard potentials
Nicolas Fournier, Stéphane Mischler
We consider the (numerically motivated) Nanbu stochastic particle system associated to the spatially homogeneous Boltzmann equation for true hard potentials. We establish a rate of…